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Finding the Fourth Proportional to 83,700.97, 125,496.46 and 47,678.65

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Solution

The fourth proportional to 83,700.97, 125,496.46 and 47,678.65 is: 71,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,700.97 : 125,496.46 = 47,678.65 : x
  2. Step 2: Convert to fraction form
    83,700.97/125,496.46 = 47,678.65/x
  3. Step 3: Cross multiply
    83,700.97x = 125,496.46 × 47,678.65
  4. Step 4: Simplify right side
    83,700.97x = 5,983,501,792.58
  5. Step 5: Solve for x
    x = 5,983,501,792.58/83,700.97
  6. Step 6: Final answer
    x = 71,486.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.